i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -3 0 0 | {-2} | 38x+18y -37 0 | {-3} | 13x2-24xy-7y2 -14x+8y 13 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 1794040281 81754060181 38469758 223954061 8970803011 9082444055 | | 145196709 6616584979 3113474 18125230 726032234 735067626 | | 595083938 27117857173 12760435 74285659 2975619243 3012650627 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 5 0 0 0 0 0 0 | | 0 0 3 0 0 2 0 0 2 7 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 8 6 8 3 0 | | 0 0 8 3 1 1 | | 0 0 0 0 7 0 | | 0 0 0 0 9 9 | | 0 0 0 0 0 7 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |